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A parabola is a curve where any point is at an equal distance from: a fixed point (the focus ), and a fixed straight line (the directrix ).
The vertex of a parabola is the highest or lowest point, also known as the maximum or minimum of a parabola. If a is positive then the parabola opens upwards like a regular "U". If a is negative, then the graph opens downwards like an upside down "U".
Every parabola has an axis of symmetry which is the line that runs down its 'center'. This line divides the graph into two perfect halves.
The "general" form of a parabola's equation is the one you're used to, y = ax2 + bx + c — unless the quadratic is "sideways", in which case the equation will look something like x = ay2 + by + c.
References: Conics:Parabolas: Introduction.(2010). In Purplemath. Retrieved from http://www.purplemath.com/modules/parabola.htm Equation of a parabola. (n.d.). In Math Warehouse. Retrieved from http://www.mathwarehouse.com/geometry/parabola/standard-and-vertex-form.php
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- Mind Map on Enter text here, created by Ivana Zago Galeazzi on 22/02/2017.
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